Statistical Analysis and Design of Pharmaceutical Processes
Answer the questions below and return the solutions using the Canvas
portal. Provide the submitted solution as a single pdf file - do not sub-
mit multiple files. Work independently on the solutions. You can make
use of Excel or Matlab, but provide discussions of any worksheets or
scripts you embed in your pdf file. Provide a text discussion of your
results and answers.
Problem Statement
An experiment is conducted to determine the API concentration in a
batch reactor operated at three different temperatures by 2 different
operators. Three replicates are run at each temperature and operator
combination and the results are shown in the margin table.
Questions
1. Write the statistical model assuming two qualitative (categorical)
factors with interaction. Conduct an ANOVA to determine the
significance of each parameter using an x = 0.05. Justify any
assumptions in your model and ANOVA analysis.
2. Suppose the operators are blocks and temperature is qualitative.
Write the statistical model and conduct an analysis of the data.
3. Assume now replicates as well as operators are blocks where
replicates are ordered 1, 2, and 3 corresponding to their appear-
ance in each temperature/operator combination. Temperature
remains a qualitative factor. Conduct an analysis of the data.
4. How many error degrees of freedom would there be if operators
and replicates are considered as blocks and a quadratic polyno-
mial model is used for the temperature?
Fig: 1